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Large deformations of a laminated composite

1970; Elsevier BV; Volume: 6; Issue: 5 Linguagem: Inglês

10.1016/0020-7683(70)90035-1

1879-2146

Richard A Grot, J. D. Achenbach,

Material Properties and Applications

An approximate nonlinear theory is derived to describe the mechanical behavior of a laminated composite consisting of alternating layers of two homogeneous materials subjected to large deformations. The theory is based on two-term expansions of the motion across the thicknesses of the undeformed layers. The kinematics and the balance laws are formulated, and the constitutive equations are worked out for elastic behavior of the constitutive materials. The governing equations are subsequently written out in detail for the case of a small amplitude disturbance superimposed on a large static deformation. The latter system of equations is used to investigate the propagation of small amplitude time-harmonic waves in a prestressed laminated composite. Bывo;дитc;я пp;иближe;ннAя нe;линe;йнAя тe;o;p;ия для o;пиc;Aния мe;чAнич;e;c;кo;гo; пo;вe;дe;ния c;лo;иc;тыч мAтe;p;иAлo;в, c;o;c;тAвлe;нныч из пe;p;e;мe;нныч c;лo;e;в двy;ч o;днo;p;o;дныч мAтe;p;иAлo;в, пo;двe;p;жe;нныч бo;льшим дe;фo;p;мAцням. Te;o;p;ия o;c;нo;вAнA нA p;Aзлo;жe;нияч движe;ния, c;o;c;тo;ящцч из двy;ч ч;лe;нo;в, пo; тo;лщинe; нe;дe;фo;p;миp;o;вAнныч c;лo;e;в. ДAютc;я зAкo;ны кинe;мAтики и p;Aвнo;вe;c;ия, A тAкжe; c;o;c;тAвляютc;я o;пp;e;дe;ляющиe; y;p;Aвнe;ния для y;пp;y;гo;гo; пo;вe;дe;ния c;лo;иc;тыч мAтe;p;иAлo;в. Пp;ивo;дитc;я пo;дp;o;бнo; o;пp;e;дe;ляющиe; y;p;Aвнe;ния для c;лy;ч;Aя вo;змy;щe;ния c; мAлAй Aмилитy;дo;й, нAлo;жe;ннo;гo; нA бo;льшy;ю c;тAтич;e;c;кy;ю дe;фo;p;мAцию. Иc;пo;льзy;e;тc;я c;нc;тe;мA y;p;Aвнe;ний для иc;c;лe;дo;вAния p;Ac;пp;o;c;тp;Aнe;ния гAp;мo;нич;e;c;кич вo;лн в пp;e;двAp;итe;льнo; нAпp;яжe;нныч c;лo;иc;тыч мAтe;p;иAлAч.